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While this is a frequently made observation, and one espoused over a long period by the present author [e.g. ref. 13 and C.A. Angell, J. Chem. Ed. 47, 583 (1970)], it was not the view of Kauzmann himself. Kauzmann ref. 15 preferred the possibility [based on the theoretical (and experimentally supported) idea that the size of the critical nucleus for transformation to the crystalline state decreases with decreasing temperature] that at low enough temperature the barrier would effectively disappear. In this case, the crystal state would be slowly established. We [C.A. Angell, D.R. MacFarlane, and M. Oguni, Ann. N.Y. Acad. Sci. 484 (1986) 241.] argued against this by showing that for certain cases it seemed that the relaxation time for evolution towards the equilibrated amorphous state would always be shorter than the transient nucleation time, but recently evidence has been presented that nucleation can occur by activity of the β-relaxation [T. Hikima, M. Hanaya and M. Oguni, Bull. Chem. Soc. Japan 69 (1996) 1863] which occurs on a much shorter time scale than that of the α-relaxation and which furthermore has an Arrhenius temperature dependence (see Fig. 7). In this case Kauzmann’s argument gains a new dimension of validity, and rather than an ideal glass, a cryptocrystalline state consisting of films of near-critical nuclei surrounding maximum density amorphous clusters might be the slow coiling limit for liquids.
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Angell, C.A. (1997). Entropy, fragility, “landscapes”, and the glass transition. In: Rubí, M., Pérez-Vicente, C. (eds) Complex Behaviour of Glassy Systems. Lecture Notes in Physics, vol 492. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104814
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